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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 193 · 40 questions
TalentJR

The method (Alligation cross): Alligation: cheaper : dearer = (dearer price − mix price) : (mix price − cheaper price). Mix price = total cost ÷ total quantity. Adding water: the milk stays the same — use it to find the new water. Percent in a mix = amount of that thing ÷ total × 100.

NameDateTime takenScore ___ / 40
  1. 1.Rice at ₹40 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  2. 2.Rice at ₹39 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  3. 3.A grocer mixes 3 kg of tea at ₹90 per kg with 2 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹57 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  5. 5.A grocer mixes 5 kg of tea at ₹30 per kg with 4 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A 56-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  7. 7.A 16-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  8. 8.Rice at ₹34 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  9. 9.A jug has 20 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  11. 11.A grocer mixes 3 kg of tea at ₹119 per kg with 3 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹26 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  13. 13.A grocer mixes 8 kg of tea at ₹53 per kg with 4 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A grocer mixes 8 kg of tea at ₹111 per kg with 12 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 10 kg of tea at ₹83 per kg with 5 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹39 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  18. 18.A 12-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  19. 19.Rice at ₹30 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  20. 20.A grocer mixes 3 kg of tea at ₹102 per kg with 3 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 5 kg of tea at ₹63 per kg with 7 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹26 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  23. 23.Rice at ₹59 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  24. 24.A grocer mixes 6 kg of tea at ₹22 per kg with 10 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  26. 26.A grocer mixes 7 kg of tea at ₹41 per kg with 12 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹43 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  28. 28.Rice at ₹61 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  29. 29.A grocer mixes 5 kg of tea at ₹20 per kg with 4 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 54-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  31. 31.A grocer mixes 2 kg of tea at ₹23 per kg with 3 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 3 kg of tea at ₹55 per kg with 6 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 5 kg of tea at ₹115 per kg with 7 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹24 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  35. 35.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A jug has 50 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.A grocer mixes 4 kg of tea at ₹93 per kg with 4 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 3 kg of tea at ₹58 per kg with 9 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹51 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?

Answer key

  1. 7
  2. 12
  3. 64
  4. 24
  5. 38
  6. 32
  7. 4
  8. 10
  9. 28
  10. 8
  11. 102
  12. 3
  13. 72
  14. 25
  15. 102
  16. 95
  17. 8
  18. 3
  19. 8
  20. 108
  21. 84
  22. 3
  23. 16
  24. 32
  25. 9
  26. 77
  27. 3
  28. 6
  29. 28
  30. 12
  31. 71
  32. 39
  33. 73
  34. 10
  35. 25
  36. 50
  37. 50
  38. 89
  39. 79
  40. 42

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